Four octahedra inside cube with truncated corners.
Note: The truncated cube is not a standard Archimedean solid, because six big faces are not regular octagons.
P.S. Cf. [Octahedron 4-Compound](http://mathworld.wolfram.com/Octahedron4-Compound.html)
[Animated version](https://skfb.ly/GpDN)